How do you factor #6b^3-4b^2#?

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Answer 1 · 2017-06-24T15:55:13

#2b^2(3b-2)#

take out all common factors

let us deal with the numbers first.

#6b^3-4b^2#

the #GCF(6,4)=2 " so we take 2 out as a common factor"#

#2(3b^3-2b^2)#

now when taking GCF of powers of letters, the GCF is the LOWEST power of the letter

so#" "GCF(b^3,b^2)=b^2#

we then have as our final solution

#2b^2(3b-2)#